Question 1 Rewrite as a sum of logarithms using the Product Rule of Logarithms. Do not evaluate the logarithm. \( \log (9 x) \) \( \square \) Next Question
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Did you know that the Product Rule of Logarithms states that the logarithm of a product is equal to the sum of the logarithms? So, when you have \( \log (9 x) \), you can break it down beautifully to \( \log 9 + \log x \). This is a super handy trick for simplifying expressions! Logarithmic properties have fascinating real-world applications, especially in fields like acoustics, where sound intensity is measured in decibels using logarithms. So, when musicians fine-tune their instruments or engineers design sound systems, they’re often crunching those logs to get the perfect balance!